2009/11/01 by Panos Papasoglu, Papasoglu, Panos
Mathematics · #20E08 #20F65 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #math.GR #msc:20E08 #msc:20F65
paper · pdf · doi:10.48550/arxiv.0911.0186
11 pages
arxiv created 2009/11/01 · openalex publication_date 2009/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is known that splittings of finitely presented groups over 2-ended groups can be characterized geometrically. We show that this characterization does not extend to all finitely generated groups. Answering a question of Kleiner we show that the Cayley graph of the lamplighter group is coarsely separated by quasi-circles.